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Results tagged with finite-fields
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user 144684
A finite field is a field with a finite number of elements. For each prime power $q^k$, there is a unique (up to isomorphism) finite field with $q^k$ elements. Up to isomorphism, these are the only finite fields.
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Finite field special functions
Taking into account Peter's Tailor analysis I can say the following.
For example we have finite field $GF(p)$ for $p$ prime;
We can take element $2$ and obtain subgroup generated by $2$: $<2>$.
This …
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Finite field special functions
$GF(31)$:
all these involutions satisfy all 3 constraints:
0, 12, 24, 8, 17, 28, 16, 9, 3, 7, 25, 30, 1, 27, 18, 21, 6, 4, 14, 20, 19, 15, 29, 26, 2, 10, 23, 13, 5, 22, 11
0, 13, 26, 23, 21, 7, 15, …
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Finite field special functions
$Z/255Z$:
$0, 16, 32, 220, 64, 41, 185, 101, 128, 190, 82, 69, 115, 212, 202, 254, 1, 204, 125, 145, 164, 44, 138, 234, 230, 49, 169, 177, 149, 122, 253, 203, 2, 215, 153, 38, 250, 160, 35, 180, …
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6
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Finite field special functions
I am looking for special class of involutive functions (f) with exactly one (zero) fixed point over finite field $F_q$ with properties:
1) $f(f(x))=x$ for any $x \in F_q$ , $f(x)=x$ iff $x=0$
2) F …
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